Given numbers are 644,972,514,746

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 644,972,514,746 is 15001479612.

Find LCM of 644,972,514,746 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 161 x 243 x 257 x 373 = 15001479612

Therefore, the lowest common multiple of 644,972,514,746 is 15001479612.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

644 x 972 x 514 x 746 = 240023673792

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

514 : 1, 2, 257, 514

746 : 1, 2, 373, 746

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,972,514,746, is 2.

Now, the common factors can be found like this.

644:2x 2x 7x 23

972:2x 2x 3x 3x 3x 3x 3

514:2x 257

746:2x 373

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 240023673792/(2x8)

LCM = 240023673792/16

LCM = 15001479612

Thus, we can understand that the LCM of 644,972,514,746 is 15001479612.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 480, 147, 346, 702
• LCM of 268, 587, 124, 919
• LCM of 333, 864, 410, 237
• LCM of 789, 978, 674, 113
• LCM of 439, 724, 868, 162

1. What is the LCM of 644, 972, 514, 746?

Answer: LCM of 644, 972, 514, 746 is 15001479612.

2. How to calculate the LCM of 644, 972, 514, 746?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 644, 972, 514, 746.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.